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2 years ago

In the figure below, EH GJ and FI intersects EH at G as shown below.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

5 0

Answer:

D. 15°

Step-by-step explanation:

EGF and HGF are equal and 75°

since JGH is 90° we can say JGI is 90 - 75 = 15°

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Answer a, b and c. See image below

dlinn [17]

Answer:

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) $\frac{7}{10} > \frac{9}{15}$ or $\frac{7}{10}$

Step-by-step explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

$\frac{7}{10}$ × $\frac{3}{3}$ = $\frac{21}{30}$

$\frac{9}{15}$ × $\frac{2}{2}$ = $\frac{18}{30}$

The common denominators of the two fractions is 30. Comparing the two fractions:

$\frac{21}{30} >\frac{18}{30}$ or $\frac{18}{30}$

so we get: $\frac{7}{10} > \frac{9}{15}$ or $\frac{7}{10}$

7 0

2 years ago

Write an equation of the line that passes through the points (-9, 4) and (-10,8) in

MrRissso [65]

Answer:

y = -4x - 32

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(8 - 4) / (-10 + 9)

4 / -1

= -4

So, the slope is -4. Plug in the slope and a point into y = mx + b, and solve for b:

y = mx + b

4 = -4(-9) + b

4 = 36 + b

-32 = b

Then, plug in the slope and y intercept into y = mx + b

y = -4x - 32 is the equation of the line

4 0

2 years ago

Read 2 more answers

The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a l

Alinara [238K]

Answer:

The correct option is;

The line of best fit is not reasonable because it has more points below it than above it.

Step-by-step explanation:

Here we note that there are a total of seven points in the scatter plot and there are five of the points below the line of best fit and just two above the line.

Of the five points below the line of best fit, four are just about touching the underside of the line while one of the two points above the line is just about touching the line.

The proper positioning of the line can be reviewed, therefore, with a line drawn through the four points presently touching the underside of the line of best fit.

3 0

3 years ago

Read 2 more answers

Find an equation of the plane orthogonal to the line

jolli1 [7]

The given line is orthogonal to the plane you want to find, so the tangent vector of this line can be used as the normal vector for the plane.

The tangent vector for the line is

d/dt (⟨0, 9, 6⟩ + ⟨7, -7, -6⟩t ) = ⟨7, -7, -6⟩

Then the plane that passes through the origin with this as its normal vector has equation

⟨x, y, z⟩ • ⟨7, -7, -6⟩ = 0

We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨x, y, z⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨x - 9, y - 6, z⟩ • ⟨7, -7, -6⟩ = 0

7 (x - 9) - 7 (y - 6) - 6z = 0

7x - 63 - 7y + 42 - 6z = 0

7x - 7y - 6z = 21

so that

a = 7, b = -7, c = -6, and d = 21

4 0

3 years ago

Please help me out....................

maxonik [38]

Answer:

x = 180 - 2 * 35 = 110°

y = (180 - 82)/2 = 49°

4 0

2 years ago